Strong mixing measures for C_0-semigroups

Our purpose is to obtain a very effective and general method to prove that certain C0-semigroups admit invariant strongly mixing measures. More precisely, we show that the frequent hypercyclicity criterion for C0-semigroups ensures the existence of invariant strongly mixing measures with full support. We will provide several examples, that range from birth-and-death models to the Black Scholes equation, which illustrate these results.